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Finding the Fourth Proportional to 191,451.84, 287,155.92 and 51,221.28

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Solution

The fourth proportional to 191,451.84, 287,155.92 and 51,221.28 is: 76,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,451.84 : 287,155.92 = 51,221.28 : x
  2. Step 2: Convert to fraction form
    191,451.84/287,155.92 = 51,221.28/x
  3. Step 3: Cross multiply
    191,451.84x = 287,155.92 × 51,221.28
  4. Step 4: Simplify right side
    191,451.84x = 14,708,493,781.98
  5. Step 5: Solve for x
    x = 14,708,493,781.98/191,451.84
  6. Step 6: Final answer
    x = 76,826.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.